In the present paper, we study the spatialization of the sound
field in a room, in particular the evolution of room impulse
responses as function of their spatial positions. The presented
technique allows us to completely characterize the sound field in
any arbitrary location if the sound field is known in a certain
finite number of positions. Our technique simply starts from the
measurements of impulse responses in a finite number of positions
and with this information the total sound field can be recreated.
An analytical solution of the problem is given for any rectangular
room. Further, we determine the number and the spacing between the
microphones needed to perfectly reconstruct the sound field up to
a certain temporal frequency.